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Table of Contents
Foundations of quantum computation
This research is led by profs. Daniel Jonathan, Ernesto F. Galvão and Marcelo Sarandy.
Quantum annealing and adiabatic quantum computation
The aim of this research area is to investigate quantum information processing and simulation of quantum dynamics through quantum annealing methods, either in closed or open systems. More specifically, we focus on the adiabatic computation approach, which aims at manipulating a slowly-varying quantum system to attain a desired target state, which contains the solution of a computational problem. Topics of interest include adiabatic algorithms and their physical implementations, adiabatic approximation in open quantum systems, and shortcut methods to adiabaticity.
Recent publications:
(1) I. Hen, M. S. Sarandy, “Driver Hamiltonians for constrained
optimization in quantum annealing”, arXiv:1602.07942 (2016).
(2) A. C. Santos, R. D. Silva, M. S. Sarandy, “Shortcut to adiabatic
gate teleportation”, Phys. Rev. A 93, 012311 (2016).
(3) A. C. Santos, M. S. Sarandy, “Superadiabatic Controlled Evolutions
and Universal Quantum Computation”, Sci. Rep. 5, 15775 (2015).
(4) M. Herrera, M. S. Sarandy, E. I. Duzzioni, R. M. Serra,
“Nonadiabatic quantum state engineering driven by fast quench
dynamics”, Phys. Rev. A 89, 022323 (2014).
Random circuits for quantum computation
- Pseudo-random ensembles of unitaries and how they converge towards a uniform distribution.
- Characterizing physically the non-local character of two-qubit gates
Recent publications:
Comment on the paper “Random Quantum Circuits are Approximate 2-designs”. Diniz, Jonathan, Comm. Math. Phys.304, 281–293 (2011). Preprint arXiv:1006.4202v1
Alternative models for quantum computation
- Measurement-based quantum computation
- Simulability results for restricted classes of quantum computation
- Experimental implementations of photonic quantum computers
Recent publications:
Experimental scattershot boson sampling. Science Advances 1 (3), e1400255 (2015).
Experimental validation of photonic boson sampling, Nature Photonics 8, 615–620 (2014).
Integrated multimode interferometers with arbitrary designs for photonic boson sampling, Crespi et al., Nature Photonics 7, 545–549 (2013).
Geometries for universal quantum computation with matchgates. Brod, Galvão, Phys. Rev. A 86, 052307 (2012).
Closed timelike curves in measurement-based quantum computation. Dias da Silva, Galvão, Kashefi ; Phys. Rev. A 83, 012316 (2011).